212853728406001 has 4 divisors (see below), whose sum is σ = 213149769753600. Its totient is φ = 212557687058404.

The previous prime is 212853728405971. The next prime is 212853728406037. The reversal of 212853728406001 is 100604827358212.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 212853728406001 - 2³⁹ = 212303972592113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212853728406041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 148020672721 + ... + 148020674158.

It is an arithmetic number, because the mean of its divisors is an integer number (53287442438400).

Almost surely, 2^{212853728406001} is an apocalyptic number.

It is an amenable number.

212853728406001 is a deficient number, since it is larger than the sum of its proper divisors (296041347599).

212853728406001 is an equidigital number, since it uses as much as digits as its factorization.

212853728406001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296041347598.

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 212853728406001 in words is "two hundred twelve trillion, eight hundred fifty-three billion, seven hundred twenty-eight million, four hundred six thousand, one".